True Amplitude WEM arising from True Amplitude One-way Wave Equations Yu Zhang, GuanQuan Zhang and Norman Bleistein
Basic Plan Derive dynamically correct one-way wave equations. Migrate data with the new equations. Apply imaging condition to dynamically correct migrated data. Show computer output.
Constant wave speed Fourier transform in t, x, y Forward modeling
What happens when? Kinematics are correct. Dynamics are not.
G. Q. Zhang [1993] Theorem: It works! Same eikonal equations Same transport equation
Wave equation migration
Imaging condition
True amplitude WEM
Imaging condition
Theorem: It Works! True Amplitude WEM TCommon-shot Kirchhoff Inversion
Image: U/D
Image: p U /p D
Summary True amplitude one-way wave equations with proof. True amplitude common-shot WEM with proof. Numerical check for v(z) only.